TY - JOUR A1 - Veldhuijzen, Ben A1 - Veltkamp, Remco C. A1 - Ikne, Omar A1 - Allaert, Benjamin A1 - Wannous, Hazem A1 - Emporio, Marco A1 - Giachetti, Andrea A1 - LaViola Jr, Joseph J. A1 - He, Ruiwen A1 - Benhabiles, Halim A1 - Cabani, Adnane A1 - Fleury, Anthony A1 - Hammoudi, Karim A1 - Gavalas, Konstantinos A1 - Vlachos, Christoforos A1 - Papanikolaou, Athanasios A1 - Romanelis, Ioannis A1 - Fotis, Vlassis A1 - Arvanitis, Gerasimos A1 - Moustakas, Konstantinos A1 - Hanik, Martin A1 - Nava-Yazdani, Esfandiar A1 - von Tycowicz, Christoph T1 - SHREC 2024: Recognition Of Dynamic Hand Motions Molding Clay JF - Computers & Graphics N2 - Gesture recognition is a tool to enable novel interactions with different techniques and applications, like Mixed Reality and Virtual Reality environments. With all the recent advancements in gesture recognition from skeletal data, it is still unclear how well state-of- the-art techniques perform in a scenario using precise motions with two hands. This paper presents the results of the SHREC 2024 contest organized to evaluate methods for their recognition of highly similar hand motions using the skeletal spatial coordinate data of both hands. The task is the recognition of 7 motion classes given their spatial coordinates in a frame-by-frame motion. The skeletal data has been captured using a Vicon system and pre-processed into a coordinate system using Blender and Vicon Shogun Post. We created a small, novel dataset with a high variety of durations in frames. This paper shows the results of the contest, showing the techniques created by the 5 research groups on this challenging task and comparing them to our baseline method. Y1 - 2024 U6 - https://doi.org/10.1016/j.cag.2024.104012 VL - 123 SP - 104012 ER - TY - JOUR A1 - Navayazdani, Esfandiar T1 - On Geodesics in the Spaces of Constrained Curves JF - Journal of Differential Geometry and its Applications N2 - In this work, we study the geodesics of the space of certain geometrically and physically motivated subspaces of the space of immersed curves endowed with a first order Sobolev metric. This includes elastic curves and also an extension of some results on planar concentric circles to surfaces. The work focuses on intrinsic and constructive approaches. Y1 - 2024 U6 - https://doi.org/https://doi.org/10.1016/j.difgeo.2024.102209 VL - 97 SP - 102209 ER - TY - JOUR A1 - Hanik, Martin A1 - Navayazdani, Esfandiar A1 - von Tycowicz, Christoph T1 - De Casteljau's Algorithm in Geometric Data Analysis: Theory and Application JF - Computer Aided Geometric Design N2 - For decades, de Casteljau's algorithm has been used as a fundamental building block in curve and surface design and has found a wide range of applications in fields such as scientific computing, and discrete geometry to name but a few. With increasing interest in nonlinear data science, its constructive approach has been shown to provide a principled way to generalize parametric smooth curves to manifolds. These curves have found remarkable new applications in the analysis of parameter-dependent, geometric data. This article provides a survey of the recent theoretical developments in this exciting area as well as its applications in fields such as geometric morphometrics and longitudinal data analysis in medicine, archaeology, and meteorology. Y1 - 2024 U6 - https://doi.org/10.1016/j.cagd.2024.102288 VL - 110 SP - 102288 ER - TY - CHAP A1 - Navayazdani, Esfandiar T1 - Elastic Analysis of Augmented Curves and Constrained Surfaces T2 - Proc. of IAPR Third International Conference on Discrete Geometry and Mathematical Morphology Y1 - 2024 U6 - https://doi.org/10.1007/978-3-031-57793-2_27 SP - 353 EP - 363 PB - Springer ER -