Extending Superquadrics with Exponent Functions: Modeling and Reconstruction

“…The particle shape is defined using a superquadric equation which is capable of describing a parametric shape as a continuous surface in either 2D or 3D [16]. Eq.…”

Section: Particle Shapementioning

confidence: 99%

An investigation of the stable orientations of orthorhombic particles in a thin film and their effect on its critical failure pressure

Morris

Neethling

Cilliers

2011

Journal of Colloid and Interface Science

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“…Originally invented by Barr in 1981, the usage and capabilities were greatly improved in papers by Solina and Metaxas by providing advanced deformation [6] and blending [16]. Zhou et al [19] further extended the sq-model by replacing the exponents of the inside/outside function with Bezier curve functions, thus making it possible to increase surface complexity to an arbitrary level. Others tried to enhance accuracy by raising the number of components within the model.…”

Section: Prior Researchmentioning

confidence: 99%

Semi-Automatic Modeling of Bones for Real-Time Surgery Support

Cuypers¹,

Weyers²,

Luther³

2009

Proceedings of the 1st International Workshop on Medical Image Analysis and Description for Diagnosis Systems

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Model-based reconstruction of human bones for surgical purposes is an upcoming field of research in informatics and kinematics. Tools for planning surgeries and real-time support require appropriate mathematical models for rendering, interacting and reconfiguration. It is our conviction that superquadrics offer this powerful mathematical modeling capability. Image-based data from MRI and X-ray examinations have to be extracted and gathered to 3Dpoint sets, which are afterwards fitted by superquadric-based models. The fitting process is complex and time-consuming. To solve this problem and to provide real-time simulation for surgical support, it is necessary to apply the knowledge of the expert user. This paper presents the concept and a prototypical implementation of an interactive system that involves the user in the fitting process to accelerate the calculation and enhance the resulting model.

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Extending Superquadrics with Exponent Functions: Modeling and Reconstruction

Cited by 23 publications

References 29 publications

A model for investigating the behaviour of non-spherical particles at interfaces

A model for investigating the behaviour of non-spherical particles at interfaces

An investigation of the stable orientations of orthorhombic particles in a thin film and their effect on its critical failure pressure

Semi-Automatic Modeling of Bones for Real-Time Surgery Support

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