Evidence map›Paper›PMID 42515506›Full record

ArticleSensors (Basel, Switzerland)2026

Ray Marching Aspheric Surfaces: Robust Ray Intersection Calculation for Design of Optical Sensors.

Vadim Sanzharov, Sergey Ershov, Vladimir Frolov, Vladimir Galaktionov, Alexey Voloboy

Abstract read
In one paragraph

Article in Sensors (Basel, Switzerland), 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

Vadim SanzharovInstitute for Artificial Intelligence, Lomonosov Moscow State University, Leninskie Gory 1-52, 119991 Moscow, Russia.ORCID 0000-0001-6455-6444
Sergey ErshovKeldysh Institute of Applied Mathematics RAS, Miusskaya Sq. 4, 125047 Moscow, Russia.ORCID 0000-0002-5493-1076
Vladimir FrolovInstitute for Artificial Intelligence, Lomonosov Moscow State University, Leninskie Gory 1-52, 119991 Moscow, Russia.ORCID 0000-0001-8829-9884
Vladimir GalaktionovKeldysh Institute of Applied Mathematics RAS, Miusskaya Sq. 4, 125047 Moscow, Russia.ORCID 0000-0001-6460-7539
Alexey VoloboyKeldysh Institute of Applied Mathematics RAS, Miusskaya Sq. 4, 125047 Moscow, Russia.ORCID 0000-0003-1252-8294

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

When designing lens systems for optical sensors, a fundamental operation is finding the intersection of a ray and the lens surface. We propose a robust method for finding the intersection of a ray with highly aspherical rotationally symmetric surfaces. Our method provides reliable results for ray incident at large angles relative to the optical axis and successfully calculates intersection points for a significantly larger number of rays than existing methods, improving the reliability of optical modeling and design. The core idea of our method is to calculate an initial approximation of the intersection point for the Newton method using a ray marching procedure with a step size estimated form of analytical derivatives on the surface function. The proposed method does not require maintaining additional complex data structures and is suitable for use in the iterative optimization of optical systems where the surface geometry frequently changes.

Indexed as

aspherical surfaceslens systemsoptical sensorsopticsray tracing

Identifiers

PMID42515506
PMCPMC13419050

What OpenQuestion holds

Textmetadata
LicenceCC BY
Read underepoch 390

Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.