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One striking example is the neuronal homunculus; a human figure where the size of each body part is proportional to the neural density on that part. In this work we propose an approach which changes local size of a 2D image or 3D surface and, at the same time, minimizes distortion, prevails smoothness, and, most importantly, avoids fold\u2010overs (collisions). We employ a parallel, two\u2010stage optimization process, that scales the shape non\u2010uniformly according to an interactively\u2010defined importance map and then solves for a nearby, self\u2010intersection\u2010free configuration. The results include an interactive 3D\u2010rendered version of the classic sensorical homunculus but also a range of images and surfaces with different importance maps.<\/jats:p>","DOI":"10.1111\/j.1467-8659.2012.03209.x","type":"journal-article","created":{"date-parts":[[2012,10,2]],"date-time":"2012-10-02T15:50:30Z","timestamp":1349193030000},"page":"2165-2171","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Homunculus Warping: Conveying importance using self\u2010intersection\u2010free non\u2010homogeneous mesh deformation"],"prefix":"10.1111","volume":"31","author":[{"given":"Bernhard","family":"Reinert","sequence":"first","affiliation":[]},{"given":"Tobias","family":"Ritschel","sequence":"additional","affiliation":[]},{"given":"Hans\u2010Peter","family":"Seidel","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2013,10,21]]},"reference":[{"key":"e_1_2_6_2_2","doi-asserted-by":"crossref","unstructured":"AlexaM. 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