{"ok":true,"nota":{"id":"f768fda3f9104520","slug":"como-medir-con-precision-funciones-sobre-una-esfera-con-cuadriculas-cl-f768fd","titulo":"Cómo medir con precisión funciones sobre una esfera, con cuadrículas clásicas y poliédricas","resumen":"Un conjunto de cuadernos de cálculo compara distintos esquemas de muestreo sobre la esfera para reconstruir funciones matemáticas. Mide el error de cada método frente a una señal conocida.","fuente":"zenodo","fuenteNombre":"Zenodo · Investigación abierta","color":"#1682d4","autor":"Domingo, Edward John","url":"https://doi.org/10.5281/zenodo.23159844","imagen":"/hoy/portada/f768fda3f9104520","tema":"ciencia","subtemas":["matemática aplicada","armónicos esféricos","muestreo","procesamiento de señales","software científico"],"entidades":["Zenodo"],"formato":"dato","entretenimiento":false,"pubTs":"2026-10-18T12:07:55.000Z","indexTs":"2026-10-20T14:46:04.776Z","hash":"48237446d96992bb6fc7db8830bdf58af770c72d891e192dccb9ce43cf4c4e9c","tsa":{"time":"Oct 20 14:48:17 2026 GMT","provider":"freetsa.org","sobre":"sello"},"stats":{"views":0,"likes":0,"clicks":0,"dwell":0},"tipo":"normal","registro":"hallazgo","porQueImporta":"Este trabajo es de matemática aplicada pura y no tiene una consecuencia directa para la vida cotidiana. Su valor está en la comunidad técnica que diseña mapas del clima, simulaciones de la atmósfera o procesamiento de datos cosmológicos, donde reconstruir bien una señal sobre una esfera importa. Para el lector no especializado, el dato útil es que hay maneras más o menos precisas de dividir una esfera en puntos de medición, y que compararlas con números concretos permite elegir la mejor. Es un avance de herramientas más que un hallazgo con efectos visibles.","quienFirma":"Zenodo (autores no identificados en la fuente)","confianza":"preprint","consulta":null},"sello":{"hash":"48237446d96992bb6fc7db8830bdf58af770c72d891e192dccb9ce43cf4c4e9c","sello":"e7b05ba24b599de1e1a5d09da206e77793852d17a8f5c7aa537b8b9c9b5c0d76","beacon":{"drand":{"cadena":"8990e7a9aaed2ffed73dbd7092123d6f289930540d7651336225dc172e51b2ce","ronda":6569222,"aleatorio":"6d2f44f68741e0edd0b337c28cf6f7fee749ddf0d8270b942b593b507f7cfbb8","tiempo":"2026-10-20T14:48:00.000Z"},"nist":{"cadena":2,"pulso":1991816,"salida":"4BB483DC5B0F13488E37EC048E10F04D805F470BA4FF55509091158C428BE8E19FEEF29F893B00E5386D23DD98B5761B39AD81D267D35EBA482A5BDB4FBC6D51","tiempo":"2026-10-20T14:47:00.000Z"},"noAntes":"2026-10-20T14:48:00.000Z"},"verificacion":{"drand":true,"nist":true},"tsa":{"time":"Oct 20 14:48:17 2026 GMT","provider":"freetsa.org","sobre":"sello"},"original":{"titulo":"Spherical Sampling Exploration: Classical and Polyhedral Grids for Reconstruction on the Sphere","descripcion":"<p>A set of Jupyter notebooks exploring sampling schemes on the sphere and the accuracy with which a bandlimited spherical function can be reconstructed from samples taken on each one.</p><p>The work covers the mathematical background of spherical harmonics and the spherical Fourier transform, then compares two families of grids: classical quadrature-based grids (Driscoll&ndash;Healy, Gauss&ndash;Legendre, McEwen&ndash;Wiaux) and polyhedral grids built by refining tetrahedral, octahedral and icosahedral meshes. For each scheme the notebooks measure reconstruction error against a known ground-truth signal, resolved per spherical harmonic mode and per degree, and examine the conditioning of the associated transforms.</p>","pubDate":"2026-10-18T12:07:55Z","url":"https://doi.org/10.5281/zenodo.23159844"},"indexado":"2026-10-20T14:46:04.776Z"}}