There are several women's headdresses in 14th and 15th century Europe in which the veil features a ruffled edge – variously called (based on the style and/or the historian discussing the style) a “goffered veil,” or a “frilled veil,” or a “fluted veil.” Sometimes, they're called nebule, or kruseler.

There are several theories as to how such veils would have been constructed; this was the focus of the studies of the Kruseler Research Group. See also the research of Isis Sturtewagen, Gina Barrett, Camilla Luise Dahl, and Carla Tilghman.

There have been several figurines found with representations of these sorts of headdresses, some of which can be found on the toys linkspage. See also Kruseler Püppchen, Barbiepuppen des Mittelalters, Spielzeug oder Gabenträger, Kruseler und andere Hauben, Spielzeug im Mittelalter, and Mode aus Modeln: Kruseler- und andere Tonfiguren des 14. bis 16. Jahrhunderts aus dem Germanischen Nationalmuseum und anderen Sammlungen.

The links below show various depictions of such veils and headdresses, showing the evolution of the style, and the sorts of combinations and arrangements in which they appeared. They also seem to demonstrate a geographic distribution of these sorts of headdresses.

• Joanna de Bohun (detail), d. 1327
• Joanna Achard, d. 1336
• Madonna and Child, c. 1340-1360
• Margaret Payer (detail), d. 1349
• The defenestration of Jezebel (fol. 130v), the wedding of Sarah and Tobias (fol. 145v), tree of virtue and vice (fol. 259v), Concordantiae caritatis (Stiftsbibliothek Lilienfeld 151), c. 1349-1351
• Reliquary-bust, c. 1350 (see also back, right, left, three-quarter, and underneath views)
• A kneeling servant (fol. 9r), Visitation (fol. 47v), Speculum Humanae Salvationis (ÖNB 1636), c. 1350-1375
• Margaret Torrington (detail), 1356
• Euphemia of Pomerania, wife of King Christopher II of Denmark, d. 1330 (monument c. 1360)
• Amicia le Haddon (detail), 1361
• Catherine de Beauchamp, d. 1370; see also Katherine Mortimer (detail), 1369, probably the same monument, and weepers 2, 4, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 32, 34, and 36
• A lady (detail) at the cathedral at Frankfurt am Main, c. 1370
• St. John the Evangelist (detail) and St. George and St. Mary (detail), altarpiece from Castle Tirol, c. 1370-1372
• The birth of St. John the Baptist from the frescoes at the Franciscan church in Poniky, Slovakia, c. 1370-1380
• Madonna and Child, c. 1370-1380
• St. Helena from the frescoes at the Church of St. Simon and St. Jude in Sliace, Slovakia
• Margaret Audley (detail), 1373
• Beatrix de Grandisson (detail), d. 1374
• Elizabeth Stafford (detail), d. 1375
• Margaret de Cobham (detail, d. 1375
• Queen Helvig, St. Peter’s Church, Næstved, c. 1375 (see also Dronning Helvigs Hoveddug and 1300-tallets krusede hovedduge: Rekonstruktionsforsøg af dronning Helvegs hoveddug i Næstved Skt. Peders Kirke)
• Joan Foxley (detail) and Maud Foxley (detail), 1378
• Katharina zum Wedel, at the cathedral at Frankfurt am Main, 1378
• Maude de Cobham (detail), d. 1380
• Queen Matilda, The Golden Book of Saint Albans (British Library Cotton Nero D. VII, fol. 7), 1380
• A lady from the church at Wertheim, end of the 14th century
• Margerete von Lowenberg (detail) at Netze Kloster, Marienthal, 1381
• Isabel de Malyns, 1385
• Lady Malyns, 1385
• Lady Malyns, 1385
• Katharina, Markgrafin von Baden (detail), 1385
• Detail from The Coronation of Mary by Konrad im Tiergarten, 1390
• A woman in the frescoes from Runkelstein Castle, c. 1390-1395
• Madonna and Child, c. 1390-1400
• Donors and Nativity windows from Viktring, c. 1390-1400
• Sweet apples, Tacuinum Sanitatis (BNF NAL 1673, fol. 6v), c. 1390-1400
• Maud de Grey (detail), 1394
• Margaret de Cobham (detail), d. 1395
• Donor in a votive fragment by Konrad im Tiergarten, c. 1395-1405
• Nanrina Thornbury (detail), 1396
• Eleanor Middleton (detail), 1400
• Queen Esther, wall-painting at Tirsted Church, c. 1400
• A lady, wall-painting at Vester Broby Church, c. 1400
• Alice Cassey (detail), 1400
• Flight into Egypt, fresco at the church of St. Helena in South Tyrol, c. 1405-1415
• St. Veronica by Robert Campin, c. 1410
• Virgin and Child by Robert Campin, c. 1410
• The Wife of Bath in the Ellesmere manuscript of the Canterbury Tales, c. 1410; in her description in the Prologue, Chaucer writes that “Hir coverchiefs ful fyne weren of ground; / I dorste swere they weyeden ten pound / That on a Sonday weren upon hir heed” (ll. 455-457)
• A monk giving a sermon, Summa of Johannes von Freiburg (ÖNB 4142, fol. 1r), 1411
• A burgher marries Avarice (fol. 59r), the Devil marries Injustice (fol. 59v), a farmer marries Falsehood (fol. 60r), temptation of the married woman (fol. 90r), St. Thomas Aquinas with the burgher's wife (fol. 149v), Blumen der Tugend (ÖNB 13567), 1411
• Millicent Meryng, 1419
• Lady Eleanor Culpepper, d. 1420
• Elizabeth, Lady Halle c. 1420
• Marriage of the Virgin by Robert Campin, 1420s
• Anna von Teck, c. 1420-1430
• Detail from the Mérode Altarpiece, c. 1427
• Brooch with a pair of lovers, c. 1430-1440
• The Arnolfini Portrait by Jan van Eyck, 1434
• Detail (Mary) and another detail from Deposition by Rogier van der Weyden, 1435
• Portrait of a woman by Robert Campin, c. 1435
• Portrait of Margareta van Eyck by Jan van Eyck, 1439
• A woman, Arzneibuch of Ortulf von Bayern (ÖNB 12490, fol. 40r), 1439
• The Magdalen Reading by Rogier van der Weyden, before 1438
• The Durán Madonna by Rogier van der Weyden, c. 1440
• St. Veronica on the Crucifixion Altarpiece by Rogier van der Weyden, c. 1445
• Details from the Baptism and center panel of the Seven Sacraments Altarpiece by Rogier van der Weyden, 1445-1450
• Madonna and Child, c. 1445-1455
• Pietà by Rogier van der Weyden, 1450
• Entombment of Christ by Rogier van der Weyden, 1450
• Right panel of the St. Columba Altarpiece by Rogier van der Weyden, c. 1455
• Detail from the St. John Altarpiece by Rogier van der Weyden, 1455-1460
• Mary and Elizabeth in the Visitation by Leonhard von Brixen, c. 1460-1470
• Lamentation by Rogier van der Weyden, c. 1464
• Pietà, c. 1465
• The Meeting of Joachim and Anne, c. 1470
• Nativity, c. 1475-1485
• The Juggler and the Woman by Israhel van Meckenem, c. 1495-1503
• Grotesque Old Woman (The Ugly Duchess) by Quentin Massys, 1525-1530