13 papers · ranked by Valyu relevance
Brian A. Wandell, Thomas Goossens, David H. Brainard
Two ideas, proposed by Thomas Young and James Clerk Maxwell, form the foundations of color science: (1) Three types of retinal receptors encode light under daytime conditions, and (2) color matching experiments establish the critical spectral properties of this encoding. Experimental quantification of these ideas are…
Richard J. Mathar
At the general geometry the sphere center is not on the (extended) cone axis. Our approach calculates the volume by slicing space perpendicular to the cone axis and by integrating the lens areas defined by the sphere-cone intersection. These volume integrals are rephrased with the aid of the Byrd-Friedmann tables to…
Yuan Xu
We establish weighted Bernstein inequalities in L p space for the doubling weight on the conic surface V d+1 0 = {(x, t) : kxk = t, x ∈ Rd, t ∈ [0, 1]} as well as on the solid cone bounded by the conic surface and the hyperplane t = 1, which becomes a triangle on the plane when d = 1. While the inequalities for the…
Jenny L. Witten, Veronika Lukyanova, Wolf M. Harmening
The foveated architecture of the human retina and the eye’s mobility enable prime spatial vision, yet the interplay between photoreceptor cell topography and the constant motion of the eye during fixation remains unexplored. With in vivo foveal cone-resolved imaging and simultaneous microscopic photo stimulation, we…
Wei Cheng, Jinglei Ni, Chao Song, Muhammad Mubashir Ahsan + 7 more
'Xuefeng Chen' 'Zelin Nie' 'Yilong Liu' 'Alessandro Sabato' 'Adam Martowicz' 'Piotr Kohut' 'Krystof Holak'] For the sound field reconstruction of large conical surfaces, current statistical optimal near-field acoustic holography (SONAH) methods have relatively poor applicability and low accuracy. To overcome this…
Grace H. Zhang, David R Nelson
Conical surfaces, with a delta function of Gaussian curvature at the apex, are perhaps the simplest example of geometric frustration. We study two-dimensional liquid crystals with p-fold rotational symmetry (p-atics) on the surfaces of cones. For free boundary conditions at the base, we find both the ground state(s)…
Martin Kilian, Christian Müller, Jonas Tervooren
Cone-nets are conjugate nets on a surface such that along each individual curve of one family of parameter curves there is a cone in tangential contact with the surface. The corresponding conjugate curve network is projectively invariant and is characterized by the existence of particular transformations. We study…
Yucong Huang, Aram Karakhanyan
The aim of this paper is to analyze the Dirichlet-Neumann operator in axially symmetric conical domains. We provide a constructive treatment of the generic singularity at the vertex by using a new coordinate system that maps the conical domain to a strip. Building upon the paradifferential theory, we then establish our…
Nguyễn Quang Huy, Nguyên Huy Hung, Nguyễn Văn Tuyên, Hoàng Ngọc Tuấn
In this paper, we investigate error bounds for cone-convex inclusion problems in finite-dimensional settings of the form f(x) ∈ K, where K is a smooth cone and f is a continuously differentiable and K-concave function. We show that local error bounds for the inclusion can be characterized by the Abadie constraint…
Maxwell J. Greene, Vimal P. Pandiyan, Ramkumar Sabesan, William S. Tuten
The distribution of long (L), middle (M), and short (S) wavelength sensitive cones in the retina determines how different frequencies of incident light are sampled across space and has been hypothesized to influence spatial and color vision. We examined how the detection and color naming of small, short-duration…
Tyler Godat, Kendall Kohout, Qiang Yang, Keith Parkins + 4 more
A long-standing question in vision science is how the three cone photoreceptor types – long (L), medium (M) and short (S) wavelength sensitive – combine to generate our perception of color. Hue perception can be described along two opponent axes: red-green and blue-yellow. Psychophysical measurements of color…
Niklas Domdei, Julius Ameln, Aleksandr Gutnikov, Jenny L. Witten + 3 more
'Frank G. Holz' 'Siegfried Wahl' 'Wolf M. Harmening'] Purpose Assessment of the relationship between in vivo foveolar cone density, cone outer segment length (OSL), and foveal retinal thickness (RT). Methods Foveolar cone density maps covering the central ±300 µm of the retina were derived from adaptive optics scanning…
Kenneth Lange
The current paper proposes and tests algorithms for finding the diameter of a compact convex set and the farthest point in the set to another point. For these two nonconvex problems, I construct Frank-Wolfe and projected gradient ascent algorithms. Although these algorithms are guaranteed to go uphill, they can become…