Metamorphosis of Cylinder-like Objects

Lazarus, Francis; Verroust, Anne

doi:10.1002/(sici)1099-1778(199707)8:3<131::aid-vis156>3.0.co;2-k

Cited by 23 publications

(7 citation statements)

References 24 publications

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“…Among boundary based approaches, Sun et al [32] proposed to interpolate polyhedral models using intrinsic shape parameters, such as dihedral angles and edge lengths. Lazarus and Verroust [33] developed a metamorphosis for cylinder-like objects by constructing polyhedral meshes using parameterization for two shapes. The parameters include 3D axes for discretization, vertices, edges and faces.…”

Section: D Metamorphosis Of Implicit Surfacesmentioning

confidence: 99%

Metamorphosis of Periodic Surface Models

Cheng

Wang

2009

Volume 5: 35th Design Automation Conference, Parts a and B

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A phase transition is a geometric and topological transformation process of materials from one phase to another, each of which has a unique and homogeneous physical property. Providing an initial guess of transition path for further physical simulation studies is highly desirable in materials design. In this paper, we present a metamorphosis scheme for periodic surface (PS) models by interpolation in the PS parameter space. The proposed approach creates multiple potential transition paths for further selection based on three smoothness criteria. The goal is to search for a smooth transformation in phase transition analysis.

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Section: D Metamorphosis Of Implicit Surfacesmentioning

confidence: 99%

Metamorphosis of Periodic Surface Models

Cheng

Wang

2009

Volume 5: 35th Design Automation Conference, Parts a and B

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“…They create parametrizations by projecting star-shaped objects to spheres and extend the method for some other classes of genus-0 objects [15]. An extension for objects that are star-shaped around an axis is invented by Lazarus and Verroust [17,18]. Shapiro and Tal [25] describe how to map a general genus-0 object onto a convex polyhedron.…”

Section: Previous Workmentioning

confidence: 99%

Fast and intuitive generation of geometric shape transitions

2000

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We describe a novel method for continuously transforming two triangulated models of arbitrary topology into each other. Equal global topology for both objects is assumed. However, extensions for genus changes during metamorphosis are provided. The proposed method addresses the major challenge in 3D metamorphosis, namely, specifying the morphing process intuitively with minimal user interaction and sufficient detail. Corresponding regions and point features are interactively identified. These regions are parametrized automatically and consistently, providing a basis for smooth interpolation. Suitable 3D interaction techniques offer a simple and intuitive control over the whole morphing process.

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“…3,4,5,6 In recent years, many algorithms have been proposed to compute a transformation between two shape models. 7,8,9 Among these applications, morphing is a popular technique used in computer animation and industrial design. There are two types of 3D metamorphosis approaches: boundary based and volume based.…”

Section: Introductionmentioning

confidence: 99%

“…shows the metamorphosis result by using Eq (7),. and the local rotation angles of for all i, j having matching relationship three conve x polygons are 85°, 55° and -30°.…”

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confidence: 99%

Non-Rigid Body Interpolation Based on Generalized Morphologic Morphing

Liu¹,

Li²,

Zhu³

2003

Int. J. Image Grap.

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This paper presents a new technique for non-rigid body interpolation based on generalized morphologic morphing. Non-rigid body interpolation can be divided into non-rigid body metamorphosis and local rigid body rotation. By constructing mappings between the two convex subsets, this approach can solve the metamorphosis problem of two non-homotopic objects. Based on the model of the normal vector sphere for polyhedrons, a fast morphologic summation algorithm for two convex polyhedrons is also proposed; this method avoids much excrescent computation and is faster than most classical implementation. This paper provides the proof of the principle of metamorphosis and discusses the different results of the metamorphosis process for the different objects. It is shown through the experiments that this approach can be applied to automatic font composition and interpolation between two key-frames in 3D computer animation as well as in many other practical applications.

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Metamorphosis of Cylinder-like Objects

Cited by 23 publications

References 24 publications

Metamorphosis of Periodic Surface Models

Metamorphosis of Periodic Surface Models

Fast and intuitive generation of geometric shape transitions

Non-Rigid Body Interpolation Based on Generalized Morphologic Morphing

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