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Shape-driven deformations of functionally defined heterogeneous volumetric objects

Published: 11 February 2003 Publication History

Abstract

In this paper, we propose a framework for deforming heterogeneous volumetric objects defined as point sets with attributes. In contrast to homogeneous volumes with uniform distribution of material and other properties, a heterogeneous volumetric object has a number of attributes assigned at each point. An attribute is a mathematical model of an object property of arbitrary nature (material, photometric, physical, statistical etc.). It is not necessary for an attribute to be described by a continuous function.In our approach, the function representation (FRep) is used as the basic model for both object geometry and attributes represented independently using real-valued scalar functions of point coordinates. While FRep directly defines object geometry, for an attribute it specifies a space partition used to define the attribute function.Deformation of an existing object is usually considered as the final step of the modelling process. In this paper, we propose to define a new node in the FRep tree based on shape-driven deformations. These deformations can be controlled by additional shapes (points, curves, surfaces, or solids) and can be applied to object geometry and attributes at any modelling step.

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      cover image ACM Conferences
      GRAPHITE '03: Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
      February 2003
      307 pages
      ISBN:1581135785
      DOI:10.1145/604471
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      Published: 11 February 2003

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      Author Tags

      1. constructive hypervolumes
      2. deformation
      3. function representation
      4. heterogeneous objects
      5. implicit surface

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