Abstract. This paper describes some recent cognitively-based and computationally-based research on representing and reasoning about shapes. The cognitive studies are based on proto...
The geometric skeleton is derived from a static object using an implicit `directions' method; an IK skeleton is derived from and used to manipulate the geometric skeleton. Th...
The main question we address is: what is the minimal information required to generate closed, non-intersecting planar boundaries? For this paper we restrict ‘shape’ to this mea...
This paper expands the role of the new field of computational topology by surveying methods for incorporating connectedness in shape modeling. Two geometric representations in par...
This paper focuses on an approach to modeling shapes through the use of evolutionary optimization or genetic algorithms for functionally represented geometric objects. This repres...