piv_q_criterion — PIV `field` op

• Data kinds: flow2d → image2d

• Call: import pivops; pivops.piv_q_criterion(flow, spacing=1.0) (or opspiv.get("piv_q_criterion"))

Usage

> This operator's description has not been translated yet. The original text follows as it is.

Q 基準 `-tr(J^2)/2`。回転がひずみを上回る場所が正になる。

渦度だけを見るとせん断層も光る(層流の壁近傍が渦に見える)ので、渦の抽出には

こちらを使う。閉形式(解析場を直接与えた実測):

• 剛体回転 ω=0.01 → `+1.0e-4` (= ω^2)

• 一様膨張 s=0.01 → `-1.0e-4` (= -s^2)

• 単純せん断 g=0.02 → `0.0`(せん断は渦ではない、が要点)

★ 閾値を必要とする量である。`Q > 0` だけでは薄い領域まで拾うので、

閾値をどう決めたかを書かない渦可視化は、絵の美しさが閾値の産物である

可能性を隠している。閾値を振ったときの面積変化を併記すること。

Detailed usage guide

• piv_displacement family guide

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• (none yet)

Ops the type connects to (they accept `image2d` as input)

piv_cross_correlate · piv_multipass · piv_deform_pass · strain_from_displacement · correlation_quality · speckle_quality

Same category (`field`)

piv_vorticity · piv_divergence · piv_flow_magnitude · piv_to_velocity · piv_velocity_gradient · piv_swirling_strength · piv_strain_rate

*Provenance: pivops.py — PIV operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

piv_q_criterion — PIV field op