### Abstract

This paper presents a new approach for left ventricle surface modeling in the analysis of dynamic behavior of heart from biplane cineangiograms. We decompose the motion and deformation analysis of left ventricle into two stages by coarse-to-fine modeling the moving surface of the left ventricle. Such a two-step surface modeling enables us to formulate the complex motion analysis as a series of well-defined parameter estimation algorithms. We model the globally deformable surface by a parameterized family of surfaces known as superquadrics which is able to model expansion/contraction and twisting deformations. The deformation parameters are obtained by fitting the given 3D data to the su-perquadric modeling primitives. The residues of such fitting are the measure of local deformations that global modeling primitives are unable to abstract. These residues are then interpolated by spherical harmonic surface modeling primitives to form a residue surface. Local deformation tensor analysis of the left ventricle is therefore based on the overall surfaces constructed by superposition of local spherical harmonic residue surfaces on top of the global superquadric surfaces. Animations of the estimated dynamic surface are generated using scientific visualization techniques in order to vividly examine the complex spatial and temporal nature of the left ventricle. These animations are consistent with a priori knowledge of the left ventricle and hence show the success of the surface modeling algorithm.

Original language | English (US) |
---|---|

Pages (from-to) | 360-371 |

Number of pages | 12 |

Journal | Proceedings of SPIE - The International Society for Optical Engineering |

Volume | 1610 |

DOIs | |

State | Published - Feb 1 1992 |

Event | Curves and Surfaces in Computer Vision and Graphics II 1991 - Boston, United States Duration: Nov 14 1991 → Nov 15 1991 |

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### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering

### Cite this

**Surface modeling in heart motion analysis.** / Chen, Chang Wen; Huang, Thomas S.

Research output: Contribution to journal › Conference article

*Proceedings of SPIE - The International Society for Optical Engineering*, vol. 1610, pp. 360-371. https://doi.org/10.1117/12.135158

}

TY - JOUR

T1 - Surface modeling in heart motion analysis

AU - Chen, Chang Wen

AU - Huang, Thomas S.

PY - 1992/2/1

Y1 - 1992/2/1

N2 - This paper presents a new approach for left ventricle surface modeling in the analysis of dynamic behavior of heart from biplane cineangiograms. We decompose the motion and deformation analysis of left ventricle into two stages by coarse-to-fine modeling the moving surface of the left ventricle. Such a two-step surface modeling enables us to formulate the complex motion analysis as a series of well-defined parameter estimation algorithms. We model the globally deformable surface by a parameterized family of surfaces known as superquadrics which is able to model expansion/contraction and twisting deformations. The deformation parameters are obtained by fitting the given 3D data to the su-perquadric modeling primitives. The residues of such fitting are the measure of local deformations that global modeling primitives are unable to abstract. These residues are then interpolated by spherical harmonic surface modeling primitives to form a residue surface. Local deformation tensor analysis of the left ventricle is therefore based on the overall surfaces constructed by superposition of local spherical harmonic residue surfaces on top of the global superquadric surfaces. Animations of the estimated dynamic surface are generated using scientific visualization techniques in order to vividly examine the complex spatial and temporal nature of the left ventricle. These animations are consistent with a priori knowledge of the left ventricle and hence show the success of the surface modeling algorithm.

AB - This paper presents a new approach for left ventricle surface modeling in the analysis of dynamic behavior of heart from biplane cineangiograms. We decompose the motion and deformation analysis of left ventricle into two stages by coarse-to-fine modeling the moving surface of the left ventricle. Such a two-step surface modeling enables us to formulate the complex motion analysis as a series of well-defined parameter estimation algorithms. We model the globally deformable surface by a parameterized family of surfaces known as superquadrics which is able to model expansion/contraction and twisting deformations. The deformation parameters are obtained by fitting the given 3D data to the su-perquadric modeling primitives. The residues of such fitting are the measure of local deformations that global modeling primitives are unable to abstract. These residues are then interpolated by spherical harmonic surface modeling primitives to form a residue surface. Local deformation tensor analysis of the left ventricle is therefore based on the overall surfaces constructed by superposition of local spherical harmonic residue surfaces on top of the global superquadric surfaces. Animations of the estimated dynamic surface are generated using scientific visualization techniques in order to vividly examine the complex spatial and temporal nature of the left ventricle. These animations are consistent with a priori knowledge of the left ventricle and hence show the success of the surface modeling algorithm.

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U2 - 10.1117/12.135158

DO - 10.1117/12.135158

M3 - Conference article

AN - SCOPUS:85075635575

VL - 1610

SP - 360

EP - 371

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

SN - 0277-786X

ER -