On the choice of a cost function for the reconstruction of surfaces by triangulation between contours

Funnell, W. Robert J.

doi:10.1016/0045-7949(84)90077-4

Cited by 8 publications

(2 citation statements)

References 16 publications

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“…It accepts a user-defined resolution parameter that determines how many triangles to generate, that is, how fine a surface triangulation is desired. An optimization algorithm is then used to decide how to generate the triangles [ 41 ]. Figure 20 shows one view of the 3-D surface generated for the nucleus in the example discussed here, illustrating that the surface is composed of triangles.…”

Section: Methodsmentioning

confidence: 99%

Untitled

Funnell

Maysinger

2006

J Nanobiotechnol

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Background: The purpose of the study was to develop and illustrate three-dimensional (3-D) reconstruction of nuclei and intracellular lipid peroxidation in cells exposed to oxidative stress induced by quantum dots. Programmed cell death is characterized by multiple biochemical and morphological changes in different organelles, including nuclei, mitochondria and lysosomes. It is the dynamics of the spatio-temporal changes in the signalling and morphological adaptations which will ultimately determine the 'shape' and fate of the cell. Results:We present new approaches to the 3-D reconstruction of organelle morphology and biochemical changes in confocal live-cell images. We demonstrate the 3-D shapes of nuclei, the 3-D intracellular distributions of QDs and the accompanying lipid-membrane peroxidation, and provide methods for quantification. Conclusion:This study provides an approach to 3-D organelle and nanoparticle visualization in the context of cell death; however, this approach is also applicable more generally to investigating changes in organelle morphology in response to therapeutic interventions, stressful stimuli and internalized nanoparticles. Moreover, the approach provides quantitative data for such changes, which will help us to better integrate compartmentalization of subcellular events and to link morphological and biochemical changes with physiological outcomes.

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Section: Methodsmentioning

confidence: 99%

Untitled

Funnell

Maysinger

2006

J Nanobiotechnol

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“…Other programs, such as the freeware program Nuages (http://www-sop.inria.fr/prisme/ logiciel/nuages.html.en), can also be used. Surfacing involves a triangulation of the points defining the different contours and can sometimes result in malformed surfaces if the shapes are convoluted; Tr3 permits interactive tuning of the triangulation control parameters (Funnell 1984). The rendering of the object surface follows the surfacing.…”

Section: -D Model Creationmentioning

confidence: 99%

Three-Dimensional Modelling of the Middle-Ear Ossicular Chain Using a Commercial High-Resolution X-Ray CT Scanner

Decraemer

Dirckx

Funnell

2003

JARO - Journal of the Association for Research in Otolaryngolog

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The quantitative measurement of the three-dimensional (3-D) anatomy of the ear is of great importance in the making of teaching models and the design of mathematical models of parts of the ear, and also for the interpretation and presentation of experimental results. This article describes how we used virtual sections from a commercial high-resolution X-ray computed tomography (CT) scanner to make realistic 3-D anatomical models for various applications in our middle-ear research. The important problem of registration of the 3-D model within the experimental reference frame is discussed. The commercial X-ray CT apparatus is also compared with X-ray CT using synchrotron radiation, with magnetic resonance microscopy, with fluorescence optical sectioning, and with physical (histological) serial sections.

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