fitting sphere

USAGE SUMMARY

The phrase "fitting sphere" is correct and usable in written English.
It can be used in contexts related to geometry, computer graphics, or physics, where it refers to a sphere that perfectly encloses or fits around a given object or set of points. Example: "To simplify the calculations, we will use a fitting sphere to approximate the shape of the irregular object."

✓ Grammatically correct

Science

Science & Research

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

More concretely, the brain surface is extracted from the MRI and the best fitting sphere for this surface is calculated.

Brain

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

The geometrical pore size distribution was calculated by fitting spheres of increasing radius in the pores.

Geochemical Transactions

It would then rotate around fitting spheres on that level until there was no more room, moving up again, and repeating.

Science Magazine

The center of the fitted sphere was defined to be the geometric GH-JRC.

Plosone

The fitted sphere was also visualized on the CT images in the Mimics software (Figure 1) to check the correctness of the mathematical calculations.

Plosone

We kept the xy coordinates of the centre of this fitted sphere to calculate the centre of the spherical coordinate system but discarded the z coordinate, due to the difficulty in locating edges of the basal surface in deeper sections of the retina.

Development (Cambridge)

Fitting a sphere to a data set obtained by a coordinate measuring machine is a common practice in engineering, manufacturing industry and physical sciences.

Journal of Statistical Planning and Inference

An optimization model is developed to find the center coordinates of each ball target by fitting a sphere to its scanned data.

Measurement

The functional movement task enabled the identification of hip joint centres by fitting a sphere to motion of the thigh markers and identification of knee joint flexion/extension axes using a mean helical axis method [ 18, 20].

BMC Musculoskeletal Disorders

A related approach is the rolling ball method (Skolnick 1986) that determines background levels by fitting a sphere into the 3-D "landscape" of the image (see Fig.  11).

Applied Microbiology and Biotechnology

In performing such movements, hip joint centres are identified by fitting a sphere to the motion of the thigh markers and knee joint flexion extension axes are identified by using a mean helical axis method [ 21, 24].

BMC Musculoskeletal Disorders

Expert writing Tips

Best practice

When using the phrase "fitting sphere" in technical writing, clearly define the method used for fitting (e.g., least squares, optimization model) to ensure reproducibility and understanding.

Common error

Avoid using "fitting sphere" interchangeably with terms like "best-fit sphere" without understanding the nuances. "Best-fit sphere" implies an approximation, whereas "fitting sphere" can suggest a more precise enclosure or overlay.

Linguistic Context

The phrase "fitting sphere" functions primarily as a noun phrase describing the action of adjusting or calculating a sphere to conform to a set of data or a physical object. As Ludwig AI suggests, this phrase is grammatically correct and serves to describe the process.

Expression frequency: Common

Frequent in

Science

40%

Science & Research

30%

Encyclopedias

10%

Less common in

News & Media

7%

Formal & Business

7%

Academia

6%

Ludwig's WRAP-UP

In summary, the phrase "fitting sphere" is a grammatically sound and commonly used term, particularly within scientific and technical contexts. According to Ludwig AI, this phrase is correct and usable in written English, particularly related to geometry, computer graphics, or physics. Its purpose is to describe the process of conforming a sphere to a given object or dataset, with methods such as least squares fitting often employed. While alternatives like "enclosing sphere" or "bounding sphere" exist, "fitting sphere" specifically highlights the act of adjusting or calculating a sphere. This phrase is most frequently found in scientific and academic sources, reflecting its formal and technical nature.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

enclosing sphere

Focuses on the act of surrounding or containing within a sphere.

bounding sphere

Highlights the sphere as a limit or boundary for an object.

circumscribing sphere

Emphasizes the sphere as drawn around something, touching it at points.

best-fit sphere

Indicates the sphere that most closely approximates a given shape or data set.

spherical approximation

Refers to the act of estimating a shape using a sphere.

calculating sphere

Highlights the method for finding center coordinates.

determining sphere

Emphasizes finding sphere coordinates.

applying sphere

Focuses on the action of using a sphere in analysis or modeling.

locating sphere

Highlights identifying the 3D space of sphere.

warping to sphere

Emphasizes the slight deformation of sphere.

FAQs

What does "fitting sphere" mean in the context of data analysis?

In data analysis, "fitting sphere" often refers to the process of finding a sphere that best represents a set of data points, often using methods like least squares. It's used to simplify complex shapes or to identify the center and radius of a roughly spherical object.

How is "fitting sphere" used in medical imaging?

In medical imaging, "fitting sphere" can be used to model the shape of organs or other anatomical structures. For instance, it can help define the center of the hip joint or the curvature of the cornea. It is the process for finding center coordinates.

What are some methods for "fitting sphere" to a dataset?

Common methods for "fitting sphere" include least squares fitting, which minimizes the sum of the squared distances between the data points and the sphere, and optimization algorithms that directly search for the sphere parameters that best match the data.

What is the difference between "fitting sphere" and "best-fit sphere"?

"Fitting sphere" generally describes the process of finding a sphere that corresponds to a set of points or a shape. "Best-fit sphere", is more specific, implying that the sphere is the closest approximation according to a defined criterion, such as minimizing the sum of squared distances.