We present a new method for computing an optimal deformation between two arbitrary surfaces embedded in Euclidean 3-dimensional space. Our main contribution is in building a norm on the space of surfaces via representation by currents of geometric measure theory. Currents are an appropriate choice for representations because they inherit natural transformation properties from differential forms. We impose a Hilbert space structure on currents, whose norm gives a convenient and practical way to define a matching functional. Using this Hilbert space norm, we also derive and implement a surface matching algorithm under the large deformation framework, guaranteeing that the optimal solution is a one-to-one regular map of the entire ambient space. We detail an implementation of this algorithm for triangular meshes and present results on 3D face and medical image data.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1007/11505730_32 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Targeting EPHB2/ABL1 restores antitumor immunity in preclinical models of ependymoma.
Proc Natl Acad Sci U S A
January 2025
Department of Radiation Oncology, Massachusetts General Hospital and Harvard Medical School, Boston, MA 02114.
Ependymoma (EPN) is a common form of brain tumor in children, often resistant to available cytotoxic therapies. Molecular profiling studies have led to a better understanding of EPN subtypes and revealed a critical role of oncogenes ZFTA-RELA fusion and EPHB2 in supratentorial ependymoma (ST-EPN). However, the immune system's role in tumor progression and response to therapy remains poorly understood.
View Article and Find Full Text PDFThe development of a screener for Cerebral Visual Impairment.
Appl Neuropsychol Child
January 2025
Luxembourg Centre for Educational Testing (LUCET), Faculty of Humanities, Education and Social Sciences, University of Luxembourg, Esch-sur-Alzette, Luxembourg.
This study explored the secondary use of Luxembourg's school monitoring tool for a large-scale screening of Cerebral Visual Impairment (CVI)-related difficulties. 44 items, with and without time constraint, were developed, and pretested among 959 children. All children subsequently participated in an individual evaluation of higher-level visual processing (HLVP) measures related with CVI.
View Article and Find Full Text PDFArtificial Cephalopod Skins with Switchable Appearance Color.
Macromol Rapid Commun
January 2025
Department of Biological and Bioenergy Chemical Engineering, College of Chemical Engineering, China University of Petroleum (East China), Qingdao, 266580, China.
Cephalopods such as squids, octopuses, and cuttlefishes can change their bodies' color to match the surrounding environments by contracting or expanding the sac just below the surface of the skin. Inspired by this mechanism, artificial cephalopod chromatophores which are prepared by thermoresponsive poly(N-isopropyl acrylamide)-based hydrogel films embedded with black, red, and yellow pigments are presented, they can swell and shrink under temperature stimuli, like the natural chromatophores. The artificial chromatophores embedded with cuttlefish ink are further used to fabricate artificial J.
View Article and Find Full Text PDFProtease-activated receptor 1 in the pathogenesis of cystic fibrosis.
BMJ Open Respir Res
January 2025
Murdoch Children's Research Institute, Parkville, Victoria, Australia.
Background: The most common cause of death in those with cystic fibrosis (CF) is respiratory failure due to bronchiectasis resulting from repeated cycles of respiratory infection and inflammation. Protease-activated receptor 1 (PAR1) is a cell surface receptor activated by serine proteases including neutrophil elastase, which is recognised as a potent modulator of inflammation. While PAR1 is known to play an important role in regulating inflammation, nothing is known about any potential role of this receptor in CF pathogenesis.
View Article and Find Full Text PDFOptimization of polyhydroxyalkanoate (PHA) production from biohythane pilot plant effluent by Cupriavidus necator TISTR 1335.
Biodegradation
January 2025
Master's Program of Green Energy Science and Technology, Feng Chia University, Taichung City, 407102, Taiwan.
Bioplastics, particularly polyhydroxyalkanoates (PHAs), are emerging as promising alternatives to traditional materials due to their biodegradability. This study focuses on the production of PHAs as bioplastics using effluent from hydrogen production in a two-stage Biohythane Pilot Plant, which provides a low-cost substrate. The aim is to optimize production conditions, with Cupriavidus necator TISTR 1335 being used as the PHA producer.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!