Abstract
In a recent neuroimaging study the comparison of intact vs. disturbed perception of global gestalt indicated a significant role of the temporo-parietal junction (TPJ) in the intact perception of global gestalt (Huberle and Karnath, ). This location corresponded well with the areas known to be damaged or impaired in patients with simultanagnosia after stroke or due to neurodegenerative diseases. It was concluded that the TPJ plays an important role in the integration of individual items to a holistic percept. Thus, increased BOLD signals should be found in this region whenever a task calls for the integration of multiple visual items. Behavioral experiments in chess experts suggested that their superior skills in comparison to chess novices are partly based on fast holistic processing of chess positions with multiple pieces. We thus analyzed BOLD data from four fMRI studies that compared chess experts with chess novices during the presentation of complex chess-related visual stimuli (Bilalić et al., , ,, ). Three regions of interests were defined by significant TPJ clusters in the abovementioned study of global gestalt perception (Huberle and Karnath, ) and BOLD signal amplitudes in these regions were compared between chess experts and novices. These cross-paradigm ROI analyses revealed higher signals at the TPJ in chess experts in comparison to novices during presentations of complex chess positions. This difference was consistent across the different tasks in five independent experiments. Our results confirm the assumption that the TPJ region identified in previous work on global gestalt perception plays an important role in the processing of complex visual stimulus configurations.
Introduction
A crucial aspect of visual object recognition is the grouping of single elements to a global entity or so-called gestalt (Wertheimer, 1923; Koffka, 1935). The neuronal correlates of global processing or visual integration are still a matter of lively debates. Patients suffering from simultanagnosia, the inability to perceive a global gestalt first described as part of the Bálint syndrome (Bálint, ), typically show bilateral lesions in posterior parieto-temporal brain areas, whereas a remarkable variability concerning the exact localization is still prevalent (Rizzo and Hurtig, 1987; Friedman-Hill et al., ; Rafal, 1997; Karnath et al., ; Tang-Wai et al., 2004; Valenza et al., 2004; Huberle and Karnath, , ; Thomas et al., 2012). Moreover, there is an inconsistency between functional imaging studies that attributed global perception to unilateral regions along the ventral visual pathway (Fink et al., , ,) and other studies that found an association with posterior parietal and/or parieto-temporal areas (Yamaguchi et al., 2000; Himmelbach et al., ; Huberle and Karnath, ; Zaretskaya et al., 2013).
Research in chess experts provided a large body of data addressing neuronal correlates of visual skills (Bilalić et al., , ,, ; Krawczyk et al., 2011). For research on object recognition and visual integration chess appears to be particularly suitable as it features various, clearly distinguishable individual objects that allow the composition of complex stimulus configurations with graded complexity. Furthermore, chess provides the opportunity to compare highly trained experts with novices based on a standardized rating system (Elo, ). Behavioral studies demonstrate that domain-specific knowledge, acquired through prolonged and focused training (Ericsson et al., ), enables experts to quickly grasp the essence of complex chess positions (DeGroot, ; Bilalić et al., ). Instead of perceiving individual chess objects serially like novices, experts perceive meaningful units of several objects, called chunks (Chase and Simon, ) or templates (Gobet and Simon, ), which are linked with typical actions through pattern recognition mechanisms (Bilalić et al., ,, , ). A typical chess position featuring numerous individual objects represents a single meaningful unit to chess experts. In a recent series of fMRI studies, Bilalić et al. (, ,, ) demonstrated that chess experts also showed different neuronal response patterns in the ventral visual system compared to novices. Typically, chess experts showed higher signal increases mostly in the temporal lobe compared to novices during the observation of chess stimuli. A study by Krawczyk et al. (2011) using comparable stimulus material revealed a similar result pattern with higher signals in temporal and frontal brain areas for experts compared to novices.
Based on the assumption that the behavioral advantage of chess experts is, at least partially, based on superior skills in the visual integration of multiple chess pieces we hypothesized that there should be a difference in the BOLD signal in regions that were functionally mapped in an independent study of global perception using substantially different stimulus material (Huberle and Karnath, ). In detail, the temporo-parietal junction (TPJ) was investigated by using an independent set of data from chess experts as well as novices. Several studies investigating neuronal processes of visual grouping used stimuli that may have evoked neuronal responses depending on low-level visual features like spatial frequencies of luminance changes (e.g. Fink et al., ; Huberle and Karnath, ). The stimuli examined in the ROI analyses of the present approach were substantially different from simple hierarchical Navon-like (Navon, 1977) stimulus material. The relationships between chess pieces that support the emergence of a global percept are not based on low-level visual features but on the knowledge about these pieces and their semantic relations. We compared signal levels in chess experts and novices in region of interest (ROI) analyses using four independent fMRI datasets taken from previously published studies on chess expertise (Bilalić et al., , ,, ). We analyzed three ROIs defined by the data from Huberle and Karnath (). All three regions were located in the area of the right or left TPJ. While in three of these studies (Bilalić et al., , , ) visual processing required an analysis of highly complex chess positions, one task (Bilalić et al., ) focused on simple object perception.
Materials and methods
Participants
Eleven subjects (3 males/8 females; mean age 24.6 years, SD ± 0.7 years) participated in the study of Huberle and Karnath (). Subjects had normal or corrected to normal vision and reported no history of neurological impairment affecting their visual capacity. In all four studies of Bilalić et al. (, ,, ) expert as well as novice chess players participated (Table 1). Tournament players get rated based on their performance against other rated players. The international chess Elo scale is an interval scale with a theoretical mean of 1500 and standard deviation of 200 (Elo, ). Experts are players with a rating of 2000 Elo points or more. The experts included in the present studies were rated with an average around 2100 points. Novice players were hobby players who played chess occasionally. Their chess skills were clearly inferior to experts but they had no difficulties in identifying chess pieces and their functions. All players were male and right-handed. The Institutional Review Board of the Ethic Committee of Tübingen University approved both studies and written informed consent was obtained from all participants. All studies were performed in accordance with the ethical standards laid down in the 1964 Declaration of Helsinki.
Table 1
| Experiment | Group | Age ± SD | Elo ± SD | SDs above mean | n |
|---|---|---|---|---|---|
| 1 | Expert | 30 ± 2 | 2117 ± 53 | 3 | 7 |
| Novice | 28 ± 1 | − | − | 8 | |
| 2 | Expert | 29 ± 7 | 2130 ± 147 | 3 | 8 |
| Novice | 29 ± 5 | − | − | 8 | |
| 3 | Expert | 30 ± 2 | 2117 ± 53 | 3 | 7 |
| Novice | 29 ± 1 | − | − | 8 | |
| 4 | Expert | 30 ± 5 | 2108 ± 148 | 3 | 8 |
| Novice | 29 ± 4 | − | − | 15 |
Participants in the studies of Bilalić et al. (, ,, ): group, mean age, mean skill level as measured by the Elo rating (see Methods) with standard deviation (SD), number of standard deviations above the mean, and number of participants in each group in all four experiments.
Procedure and stimuli
In the study of Huberle and Karnath () a global circle or square was constructed from smaller local images of circles or squares. Figure 1A illustrates examples from this set of stimuli. Objects at the global level were scrambled by exchanging a certain percentage of the local images with each other, thereby producing a set of stimuli at scrambling levels of 20-, 40-, 60- and 80%. The behavioral results of a two-alternative forced choice (2AFC) task to report the category of the object at the global level (“global circle” vs. “global square”) showed that in 20% scrambled stimuli the global gestalt was easily perceived (97% Correct) whereas 80%-scrambling almost completely prevented global perception (52% Correct).
Figure 1
The four studies of Bilalić et al. (
Experiment 1 (Bilalić et al., 2011b)
Participants indicated if the current stimulus was the same as the previous one. There were four classes of stimuli: chess and face stimuli, which were presented upright or upside-down (Figure 1B). The face stimuli were black-white pictures of students (Leube et al., 2001, 2003). The chess stimuli were full-board positions taken from a four-million-chess-game database (ChessBase Mega Base 2007, ChessBase GmbH, Hamburg, Germany; www.chessbase.com). Stimuli from four categories (faces upright, chess upright, faces inverted, chess inverted) were presented in blocks of five stimuli. A single stimulus lasted for 2.75 s and was followed by a random noise mask for 0.25 s. A baseline (gray screen with a central fixation cross) was presented at the beginning, after each block, and at the end of the experiment for 14 s. All four conditions were presented four times in each of three runs (12 blocks of each condition in all runs).
Experiment 2 (Bilalić et al., 2011a)
This experiment featured three tasks. In the check task, participants indicated if the white king was attacked (i.e., given check) by the only present black piece. There were four different stimuli with two pieces on a 3 × 3 miniature chess board (Figure 1C). The white king was always on the first square of the upper left corner, while the identity of the other piece (knight or rook) and its location (middle of the lower row or the end of the upper row) varied. In the Identity task, participants were presented with the same stimuli as in the check task, but this time they identified the black piece presented. In the non-chess control task, chess pieces had been exchanged by gray-colored geometrical shapes (a circle for the king; a diamond and square for knight and rook, respectively). In parallel to the two chess tasks, the identity (diamond or square) and position (middle of the lower row or the end of the upper row) of the target stimulus were varied, and participants indicated its shape. Stimuli were presented in a block design. There were four runs and 12 blocks in each of them (four blocks for each condition in a single run). The runs were block-randomized and counterbalanced across participants. The experiment started with an empty 3 × 3 board (baseline) for 13.5 s and was followed by a written instruction for 3 s indicating the task type (check, identity, or control). After the instruction an empty 3 × 3 board was presented for 1.5 s. After 1 s a black center cross appeared and was presented for 0.5 s to warn participants about the upcoming stimulus. The following stimulus lasted for 2 s. There were four trials (stimuli) in a block, and after each block the baseline was presented.
Experiment 3 (Bilalić et al., 2011b)
These tasks were similar to the previous experiment—recognizing if the white king was in check (check task), recognizing if knights of either color were present (knight task), and recognizing if a dot of either color was presented (dot task—see Figure 1D). The stimuli, however, consisted of full chess positions (containing 15–18 pieces) presented on a full 8 × 8 square chess board. There were two types of positions—normal and random. The normal positions were taken from the same ChessBase database as in Experiment 1 and were typical middle-game positions of master games not previously known to the participants. The random positions were generated by distributing the pieces on the board randomly using the rule that any piece of either color can occur on any square (Vicente and Wang, 1998; Gobet and Waters,
Experiment 4: (Bilalić et al., 2010, 2012)
In this experiment full chess boards with 15–18 pieces were presented in normal and random positions. New middle-game positions were sampled from the ChessBase database. The tasks involved enumerations of chess pieces and their relations (Figure 1E). In the threats task, players indicated whether the number of threats (black to white) was four. In the knights and bishops condition, the task was to indicate whether the number of knights and bishops of both colors was four. Finally, in the non-chess control task, all pieces regardless of color or type were counted (indicate if the number is 15).
There were six runs, two for each task. There was only one task (e.g., threats task) in a single run. In one run, 10 meaningful and 10 meaningless stimuli were presented randomly. The runs were block-randomized and counterbalanced across participants. We first presented a starting board (all pieces at their initial location) with a fixation cross as a baseline with jittered duration (6–10 s). After a short gap (0.5 s), the target stimulus was presented until response, followed by the baseline of the next trial. Before the actual sessions, participants were given two practice trials for each task. The reaction time (i.e., the time to complete the task) was the time between stimulus onset until the participant pressed the button.
In all experiments, the stimuli were projected on a screen above the head of the participant via a video projector placed in the adjacent room. The setup resulted in a visual field of 14.6° for the whole scene. Participants saw the stimuli through a mirror mounted on the head coil and indicated their decision by pressing one of two buttons of an MRI-compatible response device held in their right hand.
MRI acquisition
All fMRI data were acquired using a 3-T scanner (Siemens Trio) with a 12-channel head coil at the University Hospital of Tübingen. All measurements covered the whole brain using standard echo-planar-imaging (EPI) sequences. For the experiments of Bilalić et al. (
Functional MRI data analysis
The imaging data of Huberle and Karnath (
In the re-analysis of the Huberle and Karnath (
Figure 2

Regions of interests (ROIs) derived from Huberle and Karnath (
In the first two experiments of Bilalić and colleagues (Bilalić et al.,
Results
In all experiments, chess experts showed a clear behavioral advantage compared to novices for chess related stimuli but not for the control stimuli (for details see: Bilalić et al.,
Table 2
| Experiment task | 1 N-Back | 2 Detection (mini chess board) | 3 Detection (full chess board) | 4 Counting | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Conditions | Chess | Faces | Check/no check | Rook/knight | Control | Check/no check | Identity | Control | Threats | Knights & bishop | Control |
| TPJ RIGHT | |||||||||||
| Result | + | 0 | 0 | 0 | 0 | + | + | + | + | + | 0 |
| TPJ LEFT ANTERIOR | |||||||||||
| Result | + | 0 | 0 | 0 | 0 | +* | 0 | 0 | + | + | 0 |
| TPJ LEFT POSTERIOR | |||||||||||
| Result | + | 0 | 0 | 0 | 0 | +* | 0 | 0 | 0 | 0 | 0 |
Results of statistical comparisons between experts and novices are indicated by a ‘+’ if a significant difference for the respective experiment and factor combination was observed and ‘0’ if the difference was not significant.
The asterisks mark significant results derived from preceding full factorial analyses with p-values slightly above 0.05 (please see results section for Experiment 3).
Experiment 1
For Experiment 1 we calculated a 2 × 2 × 2 repeated measures ANOVA with the following factors and levels: expertise (expert vs. novice) × task (chess vs. face) × presentation (normal vs. inverted presentation).
Right TPJ
Experts showed stronger activation in the right TPJ area compared to novices depending on the stimulus category administered in the particular tasks (Figure 3A). Significantly stronger activations were evident for chess related stimuli in experts, while we found no significant difference between experts and novices for faces. The statistical analysis showed a significant main effect for task [F(1, 13) = 6.74, p = 0.02, η2p = 0.34] and a significant interaction effect for the factors expertise and task [F(1, 13) = 8.92, p = 0.01, η2p = 0.41]. Two separate Two-Way ANOVAs for the two tasks (chess/faces, with factors presentation and expertise) showed a significant main effect for expertise for chess related stimuli [F(1, 13) = 7.14, p = 0.02, η2p = 0.36] while no effect was observed in the control condition [faces, main effect expertise: F(1, 13) = 0.86, p = 0.37, η2p = 0.06]. In these analyses, there was no effect involving the factor presentation (p > 0.12).
Figure 3

Results Experiment 1. Percent signal change (PSC) for the two experimental conditions chess and faces (normal and inverted presentation) for experts and novices. Subjects had to indicate whether the currently presented stimulus matched the previously presented stimulus. Results are presented for TPJ ROI right (A), left anterior (B) and left posterior TPJ (C). Error bars indicate standard error of the mean.
Left anterior TPJ
In the anterior left TPJ ROI a similar result pattern emerged. There was a stronger activation in this region for experts than in novices depending on the stimulus material administered (Figure 3B). In this ROI experts also showed stronger activations for complex chess related stimuli, while no meaningful difference between experts and novices was observable for faces. This was approved by the statistical analysis: a Three-Way ANOVA showed a significant interaction effect for expertise and task [F(1, 13) = 15.09, p = 0.002, η2p = 0.54]. The following separate ANOVAs for the two tasks revealed a significant main effect for expertise for chess stimuli [F(1, 13) = 7.50, p = 0.017, η2p = 0.37], while a significant main effect in the faces condition was present for the factor presentation only [F(1, 13) = 6.67, p = 0.02, η2p = 0.34].
Left posterior TPJ
For the posterior left TPJ ROI the previous result pattern was not observable (see Figure 3C). The Three-Way ANOVA showed a significant main effect for presentation [F(1, 13) = 16.99, p = 0.001, η2p = 0.57] and a significant interaction effect for the factors task and expertise [F(1, 13) = 8.68, p = 0.011, η2p = 0.40]. In the subsequent Two-Way ANOVAs for the two different tasks (chess/faces) a significant main effect for presentation was observable in the chess task [F(1, 13) = 5.28, p = 0.039, η2p = 0.29] while no effect was present for faces [F(1, 13) = 2.84, p = 0.12, ηp2 = 0.18].
Experiment 2
For Experiment 2 a 2 × 3 repeated measures ANOVAs with the factors expertise (expert vs. novice) and task (check vs. identity vs. control) were calculated for each ROI. These analyses did not reveal any differences between experts and novices (see Figure 4).
Figure 4

Results Experiment 2. Percent signal change (PSC) for the three experimental conditions check (indicate if knight is in check), identity (recognition of a chess piece), and control (recognition of a geometrical shape) for experts and novices in TPJ ROI right (A), left anterior (B), and left posterior TPJ (C). Error bars indicate standard error of the mean.
Right TPJ
For the right TPJ region we found a significant main effect for task [F(2, 28) = 4.44, p = 0.021, η2p = 0.24].
Left anterior TPJ
Also in the anterior left TPJ area we found a significant main effect for task [F(2, 28) = 3.63, p = 0.04, η2p = 0.21]. Additionally, the interaction of task and expertise was significant [F(2, 28) = 4.68, p = 0.015, η2p = 0.26]. Post-hoc t-tests looking for significant differences between experts and novices in the three tasks did not show any significant results.
Left posterior TPJ
In the posterior left TPJ region the Two-Way ANOVA showed a significant main effect for task as well [F(2, 28) = 15.98, p = 0.001, η2p = 0.53].
Experiment 3
In this particular experiment a 2 × 3 × 2 design was used. It contained the following factors and levels: expertise (expert vs. novice) x task (check vs. knight vs. dot) x position (normal vs. random).
Right TPJ
In the right-hemispheric TPJ region experts showed stronger activations compared to novices across all three tasks (see Figure 5A). A Three-Way ANOVA including all factors confirmed this observation by a significant main effect for expertise [F(1, 13) = 7.70, p = 0.016, η2p = 0.24]. We observed a slightly non-significant interaction effect for the factors task and position [F(1, 13) = 3.82, p = 0.07, η2p = 0.19]. No other main effects or interactions were significant (all p > 0.28).
Figure 5

Results Experiment 3. Percent signal change (PSC) for the three experimental conditions check (recognizing if the white king is in check), knight (recognizing if black/white knights are present), and control (recognizing if a black/white dot is presented) for experts and novices in normal (chess pieces arranged according to real chess matches) and random (chess pieces in randomized distribution) chess arrays. Results are presented for TPJ ROI right (A), left anterior (B), and left posterior TPJ (C). Error bars indicate standard error of the mean.
Left anterior TPJ
In the anterior left-hemispheric ROI the Three-Way ANOVA revealed an interaction effect for the factors expertise and task just above the adopted type-1 error probability threshold of 0.05 [F(2, 26) = 3.12, p = 0.06, η2p = 0.20, see Figure 5B]. Subsequent separate 2 × 2 ANOVAs for the different tasks showed a significant main effect for expertise in the check task [F(1, 13) = 5.12, p = 0.042, η2p = 0.28].
Left posterior TPJ
The analysis for the posterior left-hemispheric ROI also revealed an interaction effect for the factors expertise and task slightly above the probability threshold [F(2, 26) = 3.23, p = 0.056, η2p = 0.20, see Figure 5C]. Separate 2 × 2 ANOVAs for the different tasks demonstrated a significant main effect for expertise in the check task [F(1, 13) = 4.78, p = 0.048, η2p = 0.27].
Experiment 4
For Experiment 4 a 2 × 3 × 2 design was applied. It comprised the following factors and levels: expertise (expert vs. novice) × task (threat vs. knight & bishop vs. control) × position (normal vs. random).
Right TPJ
In the right-hemispheric TPJ region experts compared to novices showed higher signals for chess related stimuli than for control material (see Figure 6A). This result was confirmed by a Three-Way ANOVA showing a significant main effect for expertise [F(1, 21) = 13.19, p = 0.002, η2p = 0.37] and an interaction effect for the factors expertise and task [F(2, 42) = 5.18, p = 0.01, η2p = 0.20]. In separate ANOVAs for every task (threat, knight & bishop, control) significantly higher activations for complex chess stimuli were confirmed for chess experts compared to novices. The main effect for expertise was significant for the threat [F(1, 21) = 29.24, p < 0.001, η2p = 0.58] and the knight & bishop task [F(1, 21) = 8.68, p = 0.008, η2p = 0.29], but slightly not for the control task [F(1, 21) = 3.65, p = 0.07, η2p = 0.15].
Figure 6

Results Experiment 4. Percent signal change (PSC) for the three experimental conditions threats (indicated whether the number of threats of black to white was four), knights and bishops (indicate whether the number of knights and bishops of both colors was four), and control (non-chess control task, all pieces regardless of color or type were counted, indicate if the number is 15) for experts and novices in normal (chess pieces arranged according to real chess matches) and random (chess pieces in randomized distribution) chess arrays. Results are presented for TPJ ROI right (A), left anterior (B), and left posterior TPJ (C). Error bars indicate standard error of the mean.
Left anterior TPJ
For the anterior left-hemispheric TPJ region we observed a similar result pattern. Experts compared to novices showed stronger neuronal activations for chess related stimuli than for control material (see Figure 6B). A Three-Way ANOVA confirmed this observation with a significant main effect for expertise [F(1, 21) = 12.42, p = 0.002, η2p = 0.40] and a significant interaction effect of expertise and task [F(2, 42) = 5.89, p = 0.006, η2p = 0.24]. The subsequent Two-Way ANOVAs for the three tasks revealed significant main effects for the factor expertise for the threat [F(1, 21) = 5.54, p = 0.029, η2p = 0.23] and the knight & bishop task [F(1, 21) = 10.20, p = 0.005], while no effect was present for control material [F(1, 21) = 1.85, p = 0.19, η2p = 0.35].
Left posterior TPJ
In the posterior left TPJ we found a significant three-way interaction for expertise x task x position [F(2, 42) = 4.12, p = 0.024, η2p = 0.18, see Figure 6C]. Subsequent ANOVAs for every task showed a significant interaction for position and expertise [F(1, 21) = 4.39, p = 0.05, η2p = 0.19] in the knights & bishop task. The following post-hoc t-tests supported a difference between experts and novices for normal [T(21) = 2.32, p = 0.03, Cohen's d = 0.95] but not random presentations [T(21) = 1.29, p = 0.21, d = 0.59]. However, the difference for normal presentations barely missed the priorily adopted significance threshold of p = 0.05 after Bonferroni correction.
Discussion
In a series of four independent ROI analyses the BOLD signal changes in bilateral TPJ areas during the perception of complex chess related visual stimuli were investigated. We examined possible neuronal differences between chess experts and novices in left and in right TPJ regions that were associated with localized signal increases in an independent experiment on global perception (Huberle and Karnath,
Our observations strengthen previous data that suggested a significant role of the TPJ in the processing of complex object configurations (Huberle and Karnath,
The ROIs for the right and left hemisphere analyzed in the present study were different. Whereas a single ROI was analyzed for the right hemisphere, two separated ROIs were used for the left hemisphere. This was the consequence of the transfer of the functional definition of these ROIs from the preceding global perception experiment (Huberle and Karnath,
The observed association of superior skills with an increased BOLD signal in a confined cortical structure is also in line with studies investigating the neuronal effects of visual perceptual training and expert view in other brain regions. However, in numerous functional imaging studies on perceptual learning it was demonstrated that training results in higher BOLD signals in task-related brain areas (Gauthier et al.,
However, neuroimaging studies of learning and expertise in other cognitive domains, like visual working memory (WM), showed different or even opposite BOLD result patterns with behavioral changes (Landau et al., 2004; Kelly and Garavan, 2005; Jaeggi et al.,
In conclusion, our data show that fMRI signals in the TPJ are increased during the observation of complex stimuli in experts who experienced an extensive training that most likely resulted in superior skills of visual integration. The results of our cross-paradigm ROI analyses shows that such signal increases are not only observed using highly selective global/local stimulus material in within-subject comparisons but can be detected in between-subject comparisons using stimulus material from a different field of research. In good agreement with previous fMRI studies (Himmelbach et al.,
Conflict of interest statement
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Statements
Acknowledgments
This work was supported by the European Union (ERC StG 211078), the DFG (Ka 1258/10-1; Bi 1450/1-2) and the Open Access Publishing Fund of the University of Tübingen.
Conflict of interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
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Summary
Keywords
gestalt perception, visual grouping, temporo-parietal junction, object perception, expertise, fMRI, simultanagnosia, chess
Citation
Rennig J, Bilalić M, Huberle E, Karnath H-O and Himmelbach M (2013) The temporo-parietal junction contributes to global gestalt perception—evidence from studies in chess experts. Front. Hum. Neurosci. 7:513. doi: 10.3389/fnhum.2013.00513
Received
29 April 2013
Accepted
10 August 2013
Published
28 August 2013
Volume
7 - 2013
Edited by
Magdalena Chechlacz, University of Oxford, UK
Reviewed by
Harriet A. Allen, University of Birmingham, UK; Dario Cazzoli, University of Oxford, UK
Copyright
© 2013 Rennig, Bilalić, Huberle, Karnath and Himmelbach.
This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: Johannes Rennig, Division of Neuropsychology, Center of Neurology, Hertie-Institute for Clinical Brain Research, University of Tübingen, Hoppe-Seyler-Str. 3, D-72076, Tübingen, Germany e-mail: johannes.rennig@uni-tuebingen.de
†These authors have contributed equally to this work.
This article was submitted to the journal Frontiers in Human Neuroscience.
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